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Performance Bounds in {cal H}_{\infty } Optimal Control for Stable SISO Plants With Arbitrary Relative Degree

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2 Author(s)
Peters, A.A. ; Dept. of Electron. Eng., Univ. Tec. Federico Santa Maria, Chile ; Salgado, M.E.

This note deals with performance bounds for the H infin-optimal control of discrete-time LTI plants. The case studied corresponds to stable scalar plants with arbitrary relative degree but no finite non-minimum phase zero. By using Nehari's Theorem and a reformulation of the standard Youla Parameterization a closed-form expression for the characteristic polynomial of the associated eigenvalue problem is obtained. Also, we derive an analytic expression for the optimal H infin cost as a function of the plant relative degree.

Published in:

Automatic Control, IEEE Transactions on  (Volume:54 ,  Issue: 8 )

Date of Publication:

Aug. 2009

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